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balandron [24]
1 year ago
12

Factor by grouping

le="(4y^3 + 28y^2) + (y + 7)" alt="(4y^3 + 28y^2) + (y + 7)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Inessa05 [86]1 year ago
3 0

We have the following expression given:

(4y^3+28y^2)+(y+7)

We can start selecting as common factor 4y^2 and we got:

4y^2(y+7)+(y+7)

Now we can select y+7 as common factor and we got:

(y+7)\left\lbrack 4y^2+1\right\rbrack

So then our final answer would be:

(y+7)(4y^2+1)

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stepan [7]

To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:

   sin(53) = (side opposite angle of 53 degrees) / hypotenuse

    sin(53) = x / 24

     x = 24 sin(53)

    x = 19.16

Hope that helped

3 0
2 years ago
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Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
aleksley [76]
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
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6 0
3 years ago
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(-2)?
Shkiper50 [21]

Answer:

68

Step-by-step explanation:

I'm going to assume you meant "what is the value of f(g(-2))?"

g(-2) = 5(-2) + 4 = -6

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6 0
3 years ago
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
Find the value of x.<br><br> help pls !
Ad libitum [116K]

Answer:

68

Step-by-step explanation:

7 0
3 years ago
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